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6494438544 = 2431156921617
BaseRepresentation
bin1100000110001100…
…10100010010010000
3121202121102122211220
412003012110102100
5101300034013134
62552234205040
7316636550106
oct60306242220
917677378756
106494438544
112832a39890
121312b83780
137c6654659
14458757c76
15280253149
hex183194490

6494438544 has 80 divisors (see below), whose sum is σ = 18335522880. Its totient is φ = 1964462080.

The previous prime is 6494438543. The next prime is 6494438551. The reversal of 6494438544 is 4458344946.

It is not an unprimeable number, because it can be changed into a prime (6494438543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289624 + ... + 311240.

It is an arithmetic number, because the mean of its divisors is an integer number (229194036).

Almost surely, 26494438544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6494438544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9167761440).

6494438544 is an abundant number, since it is smaller than the sum of its proper divisors (11841084336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6494438544 is a wasteful number, since it uses less digits than its factorization.

6494438544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22208 (or 22202 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 51.

The square root of 6494438544 is about 80588.0794162511. The cubic root of 6494438544 is about 1865.7231650835.

The spelling of 6494438544 in words is "six billion, four hundred ninety-four million, four hundred thirty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 569 1138 1707 2276 3414 4552 6259 6828 9104 12518 13656 18777 21617 25036 27312 37554 43234 50072 64851 75108 86468 100144 129702 150216 172936 237787 259404 300432 345872 475574 518808 713361 951148 1037616 1426722 1902296 2853444 3804592 5706888 11413776 12300073 24600146 36900219 49200292 73800438 98400584 135300803 147600876 196801168 270601606 295201752 405902409 541203212 590403504 811804818 1082406424 1623609636 2164812848 3247219272 6494438544